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Finding the Fourth Proportional to 4,663.84, 6,994.80 and 2,065.12

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Solution

The fourth proportional to 4,663.84, 6,994.80 and 2,065.12 is: 3,097.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.84 : 6,994.80 = 2,065.12 : x
  2. Step 2: Convert to fraction form
    4,663.84/6,994.80 = 2,065.12/x
  3. Step 3: Cross multiply
    4,663.84x = 6,994.80 × 2,065.12
  4. Step 4: Simplify right side
    4,663.84x = 14,445,101.38
  5. Step 5: Solve for x
    x = 14,445,101.38/4,663.84
  6. Step 6: Final answer
    x = 3,097.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.